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Finding the Fourth Proportional to 490.82, 736.16 and 182.59

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Solution

The fourth proportional to 490.82, 736.16 and 182.59 is: 273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.82 : 736.16 = 182.59 : x
  2. Step 2: Convert to fraction form
    490.82/736.16 = 182.59/x
  3. Step 3: Cross multiply
    490.82x = 736.16 × 182.59
  4. Step 4: Simplify right side
    490.82x = 134,415.45
  5. Step 5: Solve for x
    x = 134,415.45/490.82
  6. Step 6: Final answer
    x = 273.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.